以非特殊因子曲线模形式出现的𝓜2,2的二元模型

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2021-01-01 DOI:10.1515/advgeom-2020-0026

Drew Johnson, A. Polishchuk

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引用次数: 2

摘要

摘要我们研究的是𝓜从具有非特殊除数的曲线的模量空间得到的2,2。我们在几何上描述了这些模型中出现的奇异曲线，并表明其中一条奇异曲线是通过吹掉模量堆栈中的Weierstrass因子而获得的𝓩-稳定曲线𝓜2,2(𝓩) 由Smyth定义。作为推论，我们证明了粗模空间M2,2的投影性(𝓩).

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Birational models of 𝓜2,2 arising as moduli of curves with nonspecial divisors

Abstract We study birational projective models of 𝓜2,2 obtained from the moduli space of curves with nonspecial divisors. We describe geometrically which singular curves appear in these models and show that one of them is obtained by blowing down the Weierstrass divisor in the moduli stack of 𝓩-stable curves 𝓜2,2(𝓩) defined by Smyth. As a corollary, we prove projectivity of the coarse moduli space M2,2(𝓩).

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.